The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken.
a.What are the expected value, standard deviation, and shape of the sampling distribution of 
?
b.What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours?
c.What is the probability that the average life in the sample will be greater than 3,219.24 hours?
d.What is the probability that the average life in the sample will be less than 3,180.96 hours?
Definitions:
Special Breathing Techniques
Methods of controlling one's breathing to improve mental, physical, or spiritual well-being.
Final Stages
The last phases or parts of a process or lifespan, often associated with the conclusion of an event, project, life, etc.
Labor
The process of childbirth, starting with contractions of the uterus and ending with the delivery of the baby and placenta.
Doula
A caregiver who provides continuous physical, emotional, and educational support for the mother before, during, and after childbirth.
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